What is the solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)} ?

The solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)} is y=-(ln(-20e^{sqrt(x)}-c_{1}))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)}

x \frac{d y}{d x} = e^{10 y + x}

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

Solution steps

x \frac{d y}{d x} = e^{10 y + x}

Solve separable ODE:

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

\frac{d y}{d x} = (x y)

(x + 1) y^{^{'}} + y^{2} = 0

\frac{d x}{d t} + \frac{x}{100} = 75

(x^{2} - 3) \frac{d y}{d x} = x (y^{2} + 16), y (2) = 4

\frac{d y}{d x} = \frac{x + 2}{y ^{2}}

What is the solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)} ?
The solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)} is y=-(ln(-20e^{sqrt(x)}-c_{1}))/(10)